Question 172
Find all quadruples $(m, n, p, q)$ of positive integers with the property
$$
p^{m} q^{n} = (p+q)^{2} + 1
$$
$$
p^{m} q^{n} = (p+q)^{2} + 1
$$
MathNet 2007-part-01 — 187 problems (EN–VI) Question 172
Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)